The centralizer of~$\frak{sl}(0,n)$ in the generalized Witt Lie superalgebra over fields of prime characteristic

Abstract

This paper considers centralizers of the Lie superalgebra~$\frak{sl}(0,n)$ over prime characteristic fields. Using homological methods, the centralizers of the even and odd parts of ~$\frak{sl}(0,n)$ in the generalized Witt Lie superalgebra are calculated and a summary of their structural properties is provided.